The root lattice of a finite-dimensional complex semisimple Lie algebra, relative to a Cartan
subalgebra 
, is the discrete point
lattice generated by its Lie algebra roots
in their real vector space span in 
,
the dual vector space of 
.
Root Lattice
See also
Cartan Matrix, Lie Algebra, Lie Algebra Root, Lie Algebra Weight, Root System, Semisimple Lie Algebra, Weyl GroupPortions of this entry contributed by Todd Rowland
Explore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W., with contributions by Todd Rowland. "Root Lattice." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/RootLattice.html